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Simplifying g(x) = (-2x + 6)(4x + -14) Multiply g * x gx = (-2x + 6)(4x + -14) Reorder the terms: gx = (6 + -2x)(4x + -14) Reorder the terms: gx = (6 + -2x)(-14 + 4x) Multiply (6 + -2x) * (-14 + 4x) gx = (6(-14 + 4x) + -2x * (-14 + 4x)) gx = ((-14 * 6 + 4x * 6) + -2x * (-14 + 4x)) gx = ((-84 + 24x) + -2x * (-14 + 4x)) gx = (-84 + 24x + (-14 * -2x + 4x * -2x)) gx = (-84 + 24x + (28x + -8x2)) Combine like terms: 24x + 28x = 52x gx = (-84 + 52x + -8x2) Solving gx = -84 + 52x + -8x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -84x-1 + 52 + -8x Simplifying g = -84x-1 + 52 + -8x Reorder the terms: g = 52 + -84x-1 + -8x
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